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# What does "tessellation" mean?

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A tessellation is a pattern of geometric shapes that can completely cover a surface without the shapes overlapping one another or leaving any gaps. Tessellations may also be called tilings, as the individual shapes in the pattern resemble tiles.

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Regular tessellations are tessellations made up of regular polygons, or shapes whose sides and angles are all equal. A simple example of a regular tessellation is a pattern made up of squares that touch on each side, as on a checkerboard. Semi-regular, or Archimedean, tessellations are made up of two or more different kinds of regular polygons such that the pattern at each vertex where the shapes meet is the same.

## Related Questions

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Spherical geometry is the branch of mathematics that deals with figures placed on the surface of a sphere. It can also be defined as a three-dimensional view of more traditional planar geometry; although, there are numerous differences between the planar and spherical subsets of geometrical study. Some of the basic tenets of planar geometry don't carry over to spherical geometry because it deals with different mathematical concepts.

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Surface area is calculated by adding up all of the areas of the shapes that make up the surface of the object. The formula for calculating surface area differs with the type of object. It is vital to ensure that all units are the same for measuring the areas.

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In geometry, the term congruent refers to two items being the same size and shape. Congruent can be used to describe shapes, sides, segments and/or angles.